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A polygonal mesh may also be more generally composed of concave polygons, or even polygons with holes. The study of polygon meshes is a large sub-field of computer graphics (specifically 3D computer graphics) and geometric modeling. Different representations of polygon meshes are used for different applications and goals.
A polygon mesh of a dolphin In 3D computer graphics , polygonal modeling is an approach for modeling objects by representing or approximating their surfaces using polygon meshes . Polygonal modeling is well suited to scanline rendering and is therefore the method of choice for real-time computer graphics .
A coarse mesh may provide an accurate solution if the solution is a constant, so the precision depends on the particular problem instance. One can selectively refine the mesh in areas where the solution gradients are high, thus increasing fidelity there. Accuracy, including interpolated values within an element, depends on the element type and ...
A polygonal mesh is composed of a set of vertices, edges, and faces that specify the shape of a polyhedral object in 3D space. The surfaces of the phantom are defined by a large amount of polygonal meshes, most commonly triangles. The polygonal mesh has three remarkable advantages in developing whole-body phantoms.
The UV mapping process at its simplest requires three steps: unwrapping the mesh, creating the texture, and applying the texture to a respective face of polygon. [ 1 ] UV mapping may use repeating textures , or an injective 'unique' mapping as a prerequisite for baking .
Laplacian smoothing is an algorithm to smooth a polygonal mesh. [ 1 ] [ 2 ] For each vertex in a mesh, a new position is chosen based on local information (such as the position of neighbours) and the vertex is moved there.
The curved surface, the underlying inner mesh, [1] can be calculated from the coarse mesh, known as the control cage or outer mesh, as the functional limit of an iterative process of subdividing each polygonal face into smaller faces that better approximate the final underlying curved surface. Less commonly, a simple algorithm is used to add ...
Gouraud-shaded triangle mesh using the Phong reflection model. Gouraud shading (/ ɡ uː ˈ r oʊ / goo-ROH), named after Henri Gouraud, is an interpolation method used in computer graphics to produce continuous shading of surfaces represented by polygon meshes.